• q-Clan Geometries in Characteristic 2

q-Clan Geometries in Characteristic 2

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Overview

A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry. The book gives a complete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals are worked out completely.

Product Details

ISBN-13: 9783764385071
ISBN-10: 3764385073
Publisher: Birkhäuser Basel
Publication date: 2007-08-16
Edition description: 2007
Pages: 166
Product dimensions: Height: 9.45 Inches, Length: 6.69 Inches, Weight: 1.00089866948 Pounds, Width: 0.41 Inches
Author: Ilaria Cardinali, Stanley E. Payne
Language: en
Binding: Paperback

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